🧠 Quiz: Binomial Theorem Expansion

🧠 Quiz: Binomial Theorem Expansion

1. Expand \((x + y)^2\) using the binomial theorem.

\(x^2 + 2xy + y^2\) \(x^2 + y^2\) \(x^2 + xy + y^2\) \(2x^2 + y^2\)

2. Expand \((a + b)^3\).

\(a^3 + 3a^2b + 3ab^2 + b^3\) \(a^3 + b^3\) \(a^3 + 2ab + b^3\) \(a^3 + 3ab + b^3\)

3. The general term in the expansion of \((x + y)^n\) is:

\(\binom{n}{r} x^{n-r} y^r\) \(\binom{n}{r} x^r y^{n-r}\) \(x^n + y^n\) None of the above

4. Expand \((1 + x)^4\).

\(1 + 4x + 6x^2 + 4x^3 + x^4\) \(1 + 2x + 2x^2 + x^4\) \(1 + 4x + 4x^2 + x^4\) \(1 + x^4\)

5. Expand \((2x - 3)^2\).

\(4x^2 - 12x + 9\) \(2x^2 - 6x + 9\) \(4x^2 + 9\) \(2x^2 - 3\)